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6. A recent lottery collected $80 000 000 selling tickets at $2.50 each. The prizes were as follows: Prize ($) Number of Prizes 15 000

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6. A recent lottery collected $80 000 000 selling tickets at $2.50 each. The prizes were as follows: Prize ($) Number of Prizes 15 000 000 1 100 000 20 1 000 1 000 100 15 000 25 100 000 10 500 000 a) What is the probability of winning a prize in this lottery? (Round to 3 decimal places.) [1] b) What is the expected payout per ticket? [2]

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